# Question

Explain why each function is continuous or discontinuous.

(a) The temperature at a specific location as a function of time

(b) The temperature at a specific time as a function of the distance due west from New York City

(c) The altitude above sea level as a function of the distance due west from New York City

(d) The cost of a taxi ride as a function of the distance traveled

(e) The current in the circuit for the lights in a room as a function of time

(a) The temperature at a specific location as a function of time

(b) The temperature at a specific time as a function of the distance due west from New York City

(c) The altitude above sea level as a function of the distance due west from New York City

(d) The cost of a taxi ride as a function of the distance traveled

(e) The current in the circuit for the lights in a room as a function of time

## Answer to relevant Questions

If f and are continuous functions with f(3) = 5 and lim x→3 [2f(x)] – g(x)] = 4, find g(3).Locate the discontinuities of the function and illustrate by graphing.Which of the following functions f has a removable discontinuity at a? If the discontinuity is removable, find a function g that agrees with f for x ≠ a and is continuous on R. To prove that sine is continuous, we need to show that lim x→ a sin x – sin a for every real number . By Exercise 55 an equivalent statement is that Use (6) to show that this is true.For the function whose graph is given, state the following. (a) lim x →2 f(x) (b) lim x →-1- f(x) (c) lim x →-1+ f(x) (d) lim x →∞ f(x) (e) lim x →-∞ f(x) (f) The equations of ...Post your question

0